Pith Number

pith:6NGGPTAO

pith:2016:6NGGPTAO2ZDRBKL7ZHZI3SBVNP

not attested not anchored not stored refs pending

Nouvelles conditions pour l'inexistence des nombres parfaits impairs

Nancy Wallace

arxiv:1610.00544 v1 · 2016-09-28 · math.HO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NGGPTAO2ZDRBKL7ZHZI3SBVNP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:03:25.288568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34c67cc0ed64710a97fc9f28dc8356bc26a38bfa572ba75c40b4e02f460da55

Aliases

arxiv: 1610.00544 · arxiv_version: 1610.00544v1 · doi: 10.48550/arxiv.1610.00544 · pith_short_12: 6NGGPTAO2ZDR · pith_short_16: 6NGGPTAO2ZDRBKL7 · pith_short_8: 6NGGPTAO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6NGGPTAO2ZDRBKL7ZHZI3SBVNP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f34c67cc0ed64710a97fc9f28dc8356bc26a38bfa572ba75c40b4e02f460da55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95977e7f17c5500b9701351987715fdf6aa75ff224ff15f1c23fba715e51974",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-09-28T20:54:28Z",
    "title_canon_sha256": "b85b8a2d2b9593e296bfe30b93fa7b9a772b3da38a0e91029562a41d6caf74c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00544",
    "kind": "arxiv",
    "version": 1
  }
}